Space saver spare tire in an A body?!?

I have a stock wheel and a stock E70-14 in the trunk of my car and it sticks up. Sticking up is normal.

It may be normal, but it's not acceptable. I'm going to finish my trunk out with carpet, and I want a board that will lay flat. I would also like to build a carpeted partition that blocks off the back of my seat, hiding my amp and sub.